This is a problem you need to solve using logs. When you use logs you can "pull" the exponents down in front of the log to get a new equation that looks like this: 2x^3 + x^2 log 81 = 6x - 3 log 27. Now divide both sides by log 81 and 6x - 3 simultaneously to get (2x^3 + x^2)/(6x - 3) = (log 27)/(log 81). If you do the log math on the right side you get .75. Now multiply both sides by 6x-3 to get 2x^3+x^2 = .75(6x-3). If you distribute that out on the left side you'll get 2x^3+x^2=4.5x-2.25. Now move everything over to the left side and set the whole thing equal to 0: 2x^3+x^2-4.5x+2.25=0. When you solve for x, you are in essence factoring, so do this by grouping: x^2(2x+1)-2.25(2x+1). Now finally factor out the 2x+1 to get (2x+1)(x^2-2.25). You're not done yet though cuz you need to solve each of those for x: 2x+1=0, and x= -1/2; x^2=2.25, and x=+/- 1.5. So all the values for x here are -1/2, 1.5, and -1.5
Answer:
let's see what to do...
Step-by-step explanation:
H is between G and I.
G I = G H + H I
38 = 8 x + 7 + 3x - 2
38 = 11 x + 5
subtract the sides of equation minus 5
38 - 5 = 11 x + 5 - 5
33 = 11 x
divided the sides of equation by 11
33 ÷ 11 = 11 x ÷ 11
3 = x
So the lenght of (G H) is :
8 x + 7 -----¢ 8 (3) + 7 = 24 + 7 = 31
And we're done.
Thanks for watching buddy good luck.
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Answer:
-6
Step-by-step explanation:
4.8(x)+1.2(y)=2.4
9.6 + 1.2y = 2.4
subtract 9.6 from both sides
1.2y = - 7.2
divide by 1.2 on both sides
y = -6
I think this is your question right????
<span>At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $44.50 when the number of gallons sold is 10, find a linear equation that relates revenue R to the number g of gallons of gasoline. Then find the revenue R when the number of gallons of gasoline sold is 15.5.
Solution:
As the question mentioned the direct relationship between the quantities, hence
10 gallons of gasoline sold = $44.50
15.5 gallons of gasoline sold = $x
by cross multiplication, we get that
10x = 15.5 * 44.50
which implies that
x = 68.975
Thus by $</span>68.975 revenue is obtained by selling 15.5 gallons of gasoline.
